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Finding the Fourth Proportional to 356,706.99, 535,139.46 and 120,042

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Solution

The fourth proportional to 356,706.99, 535,139.46 and 120,042 is: 180,089.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,706.99 : 535,139.46 = 120,042 : x
  2. Step 2: Convert to fraction form
    356,706.99/535,139.46 = 120,042/x
  3. Step 3: Cross multiply
    356,706.99x = 535,139.46 × 120,042
  4. Step 4: Simplify right side
    356,706.99x = 64,239,211,057.32
  5. Step 5: Solve for x
    x = 64,239,211,057.32/356,706.99
  6. Step 6: Final answer
    x = 180,089.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.